# Mohr’s Circle and Principal Stress Calculator Tanvesh
Masters in Structural Engineering | Research Interest - Artificial Intelligence and Machine learning in Civil Engineering | Youtuber | Teacher | Currently working as Research Scholar at NIT Goa

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Get free online Mohr's circle and principal stress calculator. This calculator will plot Mohrs circle for specified stresses. Mohr's Circle developed by Otto Mohr is a graphical representation of normal stress versus shear stress. Mohrs circle is a powerful tool to find principal stresses and maximum shear stress for a given state of direct stress and shear stress.

## Disclaimer:

• This calculator for finding Mohrs circle and principal stress calculator is intended for educational purpose only.
• Students may use this calculator to draw Mohr’s circle and calculation of principal stress and principal angles.
• Any commercial use of this calculator has to be warranted by engineer and is sole responsibility of the user.
• Get more calculators here.

## How to use

### Stress input:

Direct stress in X direction, direct stress in Y direction and shear stress (all in MPa) are required to calculated principal stress.

These are required quantities and cannot be left blank.

### Interpretation of results:

Major principal angle is the plane where major principal stress occurs.

Minor principal angle is the plane where minor principal stress occurs.

+ve shear angle is the plane where maximum positive shear stress occurs.

-ve shear angle is the plane where minimum shear stress occurs.

User can also find normal stress and shear stress at any specified angle. The angle should be input in degrees.

## What is a Mohr's circle 1.Mohr’s circle is Shear Stress vs Normal Stress plot (It is plot between stresses ,forces should not be plotted).

2.Plot σ_x and σ_y on stress axis.

3.Plot τ_yx (A) from σ_y and τ_xy (B) from σ_x and join this diagonal line AB.

4.Locate the centre C=(σ_x+σ_y)/2   which lies on the intersection of x-axis and diagonal (AB).

5.Draw circle from centre ‘C’ and diagonal AC or BC as radius.

6.The points where circle intersects X-axis are the major (σ_1) and minor (σ_2) principal stresses points N & M respectively.

7.To find stress at any plane inclined at angle θ, draw a line at angle 2θ from center C and measured from diagonal anticlockwise.

8.The line where it intersects the circle (P) the x-co ordinate gives the direct stress at that plane and y- co ordinate gives shear stress.

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